Trans-very long hook with nine
| Trans-very long hook with nine | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 12 | ||||||||
| Bounding box | 8 × 5 | ||||||||
| Frequency class | 29.5 | ||||||||
| Static symmetry | n | ||||||||
| Discovered by | Robert Wainwright Everett Boyer | ||||||||
| Year of discovery | 1973 | ||||||||
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Trans-very long hook with nine or integral with very long hook[1] is a 12-cell still life.
Construction
A 6-glider synthesis of this still life was found in March 2021.[2] A 5-glider synthesis was found in March 2023.[3] Several known syntheses can be found in Mark Niemiec's database.[4]
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Occurrence
- See also: List of common still lifes
Among the 121 still lifes with 12 cells, this is the 60th most common still life according to Catagolue.
There are no occurrences of this still life in final patterns of collisions in octohash, octo3obj or octo3g databases.
Isomers
This still life is comprised of the normally unstable very long hook with a normally unstable nine attached. This is one of two possible isomers, named trans due to the corner part of the hook being farther from the nine; the other isomer, cis-very long hook with nine, has this corner part slightly closer.
Unlike the cis-version, the trans-very long hook with nine can be shrunk down to two smaller still lifes: the long hook with nine and hooked integral. Due to the trans version being the only one which can be shrunk, these two do not have cis-trans prefixes.
It can be substitutively referred to as the integral with trans-very long hook, with one pre-block of the integral sign replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object.
References
- ↑ xs12_31eg8426 at Adam P. Goucher's Catagolue
- ↑ 2.0 2.1 bubblegum (March 11, 2021). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ 3.0 3.1 shinjuku (#4011864005) (March 27, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ 4.0 4.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-40.rle)
External links
- Integral with very long hook at Adam P. Goucher's Catagolue
- 12.39 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 29
- Natural periodic objects
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by Robert Wainwright
- Patterns found by Everett Boyer
- Patterns found in 1973
- Patterns that can be constructed with 5 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 12 cells
- Strict still lifes with n symmetry